3469867079328 has 144 divisors (see below), whose sum is σ = 10826967944520. Its totient is φ = 1047506982912.

The previous prime is 3469867079323. The next prime is 3469867079333. The reversal of 3469867079328 is 8239707689643.

3469867079328 is a `hidden beast` number, since 3 + 469 + 8 + 6 + 70 + 7 + 93 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3469867079323) and next prime (3469867079333).

It can be written as a sum of positive squares in 4 ways, for example, as 1663821371664 + 1806045707664 = 1289892^2 + 1343892^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3469867079323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8544783 + ... + 8941646.

Almost surely, 2^{3469867079328} is an apocalyptic number.

It is an amenable number.

3469867079328 is an abundant number, since it is smaller than the sum of its proper divisors (7357100865192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3469867079328 is a wasteful number, since it uses less digits than its factorization.

3469867079328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17486511 (or 17486500 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 3469867079328 in words is "three trillion, four hundred sixty-nine billion, eight hundred sixty-seven million, seventy-nine thousand, three hundred twenty-eight".